Greatest Common Factor of 2609 and 2613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2609, 2613 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2609 and 2613 is 1.

GCF(2609,2613) = 1

GCF of 2609 and 2613

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2609 and 2613

GCF of 2609 and 2613 is 1

Prime Factorization of 2609


2609 2609
1

Prime factors of 2609 are 2609. Prime factorization of 2609 in exponential form is:

2609 = 26091

Prime Factorization of 2613


3 2613
13 871
67 67
1

Prime factors of 2613 are 3.Prime factorization of 2613 in exponential form is:

2613 = 31×131×671

∴ So by taking common prime factors GCF of 2609 and 2613 is 1

Greatest Common Factor of 2609 and 2613 by matching factors method

Factors of 2609

List of positive integer factors of 2609 that divides 2609 without a remainder.

1,2609

Factors of 2613

List of positive integer factors of 2613 that divides 2613 without a remainder.

1,3,13,39,67,201,871,2613

Greatest Common Factor

We found the factors and prime factorization of 2609 and 2613. The biggest common factor number is the GCF number.
So the greatest common factor 2609 and 2613 is 1.

Also check out the Least Common Multiple of 2609 and 2613

Properties of GCF 2609 and 2613

(i) The GCF of 2609 and 2613 is associative

GCF of 2609 and 2613 = GCF of 2613 and 2609

Related Greatest Common Factor of 2609

Related Greatest Common Factor of 2613

Frequently Asked Questions on GCF of 2609 and 2613

1. What is the GCF of 2609 and 2613?

Answer: GCF of 2609 and 2613 is 1.

2. What are the Factors of 2609?

Answer: Factors of 2609 are 1, 2609. There are 2 integers that are factors of 2609. The greatest factor of 2609 is 2609.

3. What are the Factors of 2613?

Answer: Factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613. There are 8 integers that are factors of 2613. The greatest factor of 2613 is 2613.

4. How to Find the GCF of 2609 and 2613?

Answer:

Greatest Common Factor of 2609 and 2613 = 1

Step 1: Find the prime factorization of 2609

2609 = 2609

Step 2: Find the prime factorization of 2613

2613 = 3 x 13 x 67

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2609 and 2613 is 1